Article
Well--posedness and asymptotic behaviour for a non-classical and non-autonomous diffusion equation with delay
dc.creator | Caraballo Garrido, Tomás | |
dc.creator | Márquez Durán, Antonio Miguel | |
dc.creator | Rivero Garvía, Luis Felipe | |
dc.date.accessioned | 2016-01-18T09:33:52Z | |
dc.date.available | 2016-01-18T09:33:52Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 0218-1274 | es |
dc.identifier.issn | 1793-6551 | es |
dc.identifier.uri | http://hdl.handle.net/11441/32727 | |
dc.description.abstract | In this paper, it is analyzed a non-classical non-autonomous di_usion equation with delay. First, the well-posedness and the existence of a local solution is proved by using a _xed point theorem. Then, the existence of solutions de_ned globally in future is ensured. The asymptotic behaviour of solutions is analyzed within the framework of pullback attractors as it has revealed a powerful theory to describe the dynamics of non-autonomous dynamical systems. One di_culty in the case of delays concerns the phase space that one needs to consider to construct the evolution process. This yields to the necessity of using a version of the Ascoli-Arzel_a theorem to prove the compactness. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | International Journal of Bifurcation and Chaos: in Applied Sciences and Engineering, 25(14), 1540021 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Delay equations | es |
dc.subject | pullback attractors | es |
dc.subject | non-autonomous problems | es |
dc.subject | evolution processes | es |
dc.subject | non-classical di usion equations | es |
dc.title | Well--posedness and asymptotic behaviour for a non-classical and non-autonomous diffusion equation with delay | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | http://dx.doi.org/10.1142/S0218127415400210 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/32727 |
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